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Compute : 2{:[(2,3,4,1),(-5,11,6,7)]:}...

Compute :
`2{:[(2,3,4,1),(-5,11,6,7)]:}+5{:[(11,13,-3,4),(5,-3,4,-7)]:}-6{:[(6,12,4,-2),(-3,5,11,7)]:}`.

Text Solution

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The correct Answer is:
`{:[(23,-1,-31,34),(33,-23,-34,-63)]:}`
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{:(7,9,6),(4,5,7),(2,3,?),(9,11,9):}

Examine each of the following relations given below and state in each case, giving reasons whether it is a function or not ? (i) R={(4,1),(5,1),(6,7)} (ii) R={(2,3),(2,5),(3,3),(6,6)} (iii) R={(1,2),(2,3),(3,4),(4,5),(5,6),(6,7)} (iv) R={(1,1),(2,1),(3,1),(4,1),(5,1)}

Which of the following relations are functions? Give reasons. If it is a function, determine its domain and range: (i) {(2,1), (3,1),(4,2)} (ii) {(2,2),(2,4),(3,3),(4,4)} (iii) {(2,1),(5,1),(8,1),(11,2),(14,2),(17,2)} (iv) {(1,2),(2,3),(3,4),(4,5),(5,6),(6,7)} (v){(2,1),(4,2),(6,3),(8,4),(10,5)} (vi) {(1,2),(2,3),(3,4),(3,5),(3,7),(4,8)}

{:(4,12,11,5),(6,7,10,3),(8,9,10,7),(7,5,?,4):}

5x-(3x-7)-{4-2(6x-3)}=11

Let A={1,2,3,4},B={5,6,7} and f={( 1,6),(2,7),(3,5),(4,6)} . The f is :

Compute the following: [[-1,4,-6],[8,5,16],[2,8,5]]+[[12,7,6],[8,0,5],[3,2,4]]

The median of 2,9, 11,7,3,4,8,5,3,6 is

Find the order of the matrix [{:(1,2,3,4,5,6,7),(5,6,7,8,4,5,6),(9,10,11,0,10,9,11):}]

PEARSON IIT JEE FOUNDATION-MATRICES-TEST YOUR CONCEPTS (VERY SHORT ANSWER TYPE QUESTIONS)
  1. If A={:[(a,p),(b,q),(c,r)]:}, then (A^(T))^(T) = .

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  2. The order of matrix A+B^(T) is 4xx3, then the order of matrix B is .

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  3. If A={:[(3,24),(-4,8)]:}, then check whether it is symmetric matrix or...

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  4. {:[(0,-3),(3,0)]:} is a matrix.

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  5. The product of {:[(1),(2)]:} and {:[(3,4)]:} is .

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  6. The product of {:[(a,b),(c,d)]:}and{:[(x),(y)]:} is .

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  7. The product of {:[(2,-4,4)]:},and{:[(1),(3),(5)]:} is .

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  8. If all the diagonal elements in a diagonal matrix is 0, then it is a ...

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  9. If {:[(2,-1,0),(9,2,4),(6,3,-9)]:}, find (k+l) A.

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  10. If A={:[(2,3),(4,1)]:},B={:[(9,5),(-6,1)]:}andC={:[(2,-6),(-3,1)]:} th...

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  11. If A={:[(1,2),(3,4)]:}andB={:[(5,6),(7,8)]:}, then find 3A+7B.

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  12. If 5{:[(-3,1),(x,2)]:}+{:[(y,4),(3,2)]:}={:[(-15,9),(6,z)]:}, then fin...

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  13. If A={:[(2,-3),(5,7)]:}andB={:[(20,31),(44,53)]:}, then find the matri...

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  14. If A={:[(11,-13),(-13,11)]:}, then find A^(T)= ?

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  15. If A=[a(ij)](2xx3), difined as a(ij)=i^(2)-j+1, then find matrix A.

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  16. If A={:[(5,3,1),(2,9,-11)]:},B={:[(22,31,43),(16,11,44)]:}andC={:[(51,...

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  17. Compute : 2{:[(2,3,4,1),(-5,11,6,7)]:}+5{:[(11,13,-3,4),(5,-3,4,-7)]...

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  18. Find a,p,q and b if A={:[(a-3,6,b-q),(1,5,9)]={:[(0,2p-q,-4),((q-p)/...

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  19. If A, B and C are three matrices of order 3xx4,3xx2andaxx2 respectivel...

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  20. If X and Y are two matrices such that X+Y={:[(4,-3),(5,2)]:}andX-Y={:[...

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